Posted by **Marianne** on Wednesday, August 12, 2009 at 4:05pm.

A random sample of n = 30 is drawn from a population that is normally distributed, and the sample variance is s©÷ = 41.5. Use ¥á = 0.05 in testing ¥Ç₀ : ¥ò©÷ = 29.0 versus ¥Ç©û : ¥ò©÷ ¡Á 29.0

- statistics -
**MathMate**, Wednesday, August 12, 2009 at 4:55pm
The following is a reproduction of the post in Western encoding:

"A random sample of n = 30 is drawn from a population that is normally distributed, and the sample variance is s² = 41.5. Use α = 0.05 in testing Η₀ : σ² = 29.0 versus Η₁ : σ² ≠ 29.0"

s²/σ² = 41.5/29 = 1.431

The Chi-squared statistic for α = 0.95 and df=30-1=29 is 42.6.

Thus 95% of the samples of size N=30 would be such that

s²/σ² < 42.6/29=1.469

Since 1.431 < 1.469, we conclude that

Η₀ : σ² = 29.0 is accepted for α = 0.05.

- statistics -
**Marianne**, Wednesday, August 12, 2009 at 6:22pm
Thank you MathMate

- statistics :) -
**MathMate**, Wednesday, August 12, 2009 at 6:42pm
You're welcome.

## Answer This Question

## Related Questions

- statistics - A random sample of n= 12 is drawn from a population that is ...
- Statistics - Are these statements true or false? 1. The sample mean, the sample ...
- statistics - Q- Two samples of sizes 8 and 10 are drawn from two normally ...
- business statistics - A random sample of size 15 taken from a normally ...
- maths - Q- Two samples of sizes 8 and 10 are drawn from two normally distributed...
- Math - Two simple of sizes 8&10 are drawn from two normally distributed ...
- statistics - A simple random sample of a size n is drawn from a population that ...
- Statistics - If the population is normally distribution then the sample must be ...
- statistics - Suppose we take a random sample of size n from a normal population ...
- Statistics - 1.A sample of 25 bottles is taken from the production line at a ...

More Related Questions